B2F2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B2F2 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert B2F2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B2F2 by 16⁰, multiply the second to last digit in B2F2 by 16¹, multiply the third to last digit in B2F2 by 16², multiply the fourth to last digit in B2F2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
F × 16¹ = 240
2 × 16² = 512
B × 16³ = 45056

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

2 + 240 + 512 + 45056 = 45810

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

45810 ÷ 2 = 22905 with 0 remainder
22905 ÷ 2 = 11452 with 1 remainder
11452 ÷ 2 = 5726 with 0 remainder
5726 ÷ 2 = 2863 with 0 remainder
2863 ÷ 2 = 1431 with 1 remainder
1431 ÷ 2 = 715 with 1 remainder
715 ÷ 2 = 357 with 1 remainder
357 ÷ 2 = 178 with 1 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to B2F2 hexadecimal to binary:

B2F2 hexadecimal = 1011001011110010 binary

Hexadecimal to Binary Converter
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